\begin{tikzpicture}
    \tkzDefPoints{0/0/B, 2/0/C, 0.4/2/A}
    \tkzInterLC[R, near](A,B)(B,1.5)  \tkzGetFirstPoint{D}
    \tkzInterLC[R, near](A,C)(C,1.5)  \tkzGetFirstPoint{E}
    \tkzInterLL(D,E)(B,C)  \tkzGetPoint{F}

    \tkzDrawPolygon(A,B,C)
    \tkzDrawSegments(D,F  C,F)
    \tkzLabelPoints[above](A)
    \tkzLabelPoints[above,xshift=.3em](E)
    \tkzLabelPoints[left](B,D)
    \tkzLabelPoints[below](C)
    \tkzLabelPoints[right](F)
\end{tikzpicture}

